Approximate Confidence Limits for the Ratio of Two Binomial Variates with Unequal Sample Sizes

- Journal title : Communications for Statistical Applications and Methods
- Volume 20, Issue 5, 2013, pp.347-356
- Publisher : The Korean Statistical Society
- DOI : 10.5351/CSAM.2013.20.5.347

Title & Authors

Approximate Confidence Limits for the Ratio of Two Binomial Variates with Unequal Sample Sizes

Cho, Hokwon;

Cho, Hokwon;

Abstract

We propose a sequential method to construct approximate confidence limits for the ratio of two independent sequences of binomial variates with unequal sample sizes. Due to the nonexistence of an unbiased estimator for the ratio, we develop the procedure based on a modified maximum likelihood estimator (MLE). We generalize the results of Cho and Govindarajulu (2008) by defining the sample-ratio when sample sizes are not equal. In addition, we investigate the large-sample properties of the proposed estimator and its finite sample behavior through numerical studies, and we make comparisons from the sample information view points.

Keywords

Approximate confidence limits;ratio of two binomial proportions;modified MLE;sampleratio;large-sample properties;

Language

English

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